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Triangular Matrix

If A is a mat...

Question

If A is a matrix of order 3 × 4 and B is a matrix of order 4 × 3, find the order of the matrix of AB.

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Solution

If A is a matrix of order 3 × 4 and B is a matrix of order 4 × 3, then the order of matrix AB is given by the number of rows in A and number of columns in B, respectively.

Thus, the order of matrix AB is $3 \times 3$ .

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